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Finding the Fourth Proportional to 2,519.43, 3,779.79 and 959.46

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Solution

The fourth proportional to 2,519.43, 3,779.79 and 959.46 is: 1,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.43 : 3,779.79 = 959.46 : x
  2. Step 2: Convert to fraction form
    2,519.43/3,779.79 = 959.46/x
  3. Step 3: Cross multiply
    2,519.43x = 3,779.79 × 959.46
  4. Step 4: Simplify right side
    2,519.43x = 3,626,557.31
  5. Step 5: Solve for x
    x = 3,626,557.31/2,519.43
  6. Step 6: Final answer
    x = 1,439.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.